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4 years ago

Find all the second partial derivatives. v = e5xey

1 answer:

5 0

I'm taking the liberty of editing your function v = e5xey: It should be

v = e^5x^ey, with " ^ " indicating exponentiation.

Did you mean e^(5x) or (e^5)x? I'll assume it's e^(5x).

The partial of v = e^(5x)e^y with respect to x is e^(5x)(5)*e^y, or 25x*e^y.

The partial of v = e^(5x)e^y with respect to y is e^(5x)e^y.

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Pat is taking an economics course. Pat's exam strategy is to rely on luck for the next exam. The exam consists of 100 true-false

Nikolay [14]

Answer:

The probability that Pat will pass the exam is 0.02775.

Step-by-step explanation:

We are given that exam consists of 100 true-false questions. Pat plans to guess the answer to each question without reading it.

If a grade on the exam is 60% or more, Pat will pass the exam.

Let X = grade on the exam by Pat

The above situation can be represented through binomial distribution such that X ~ Binom(n = 100, p = 0.50).

Here the probability of success is 50% because there is a true-false question and there is a 50-50 chance of both being the correct answer.

Now, here to calculate the probability we will use normal approximation because the sample size if very large(i.e. greater than 30).

So, the new mean of X, $\mu$ = $n \times p$ = $100 \times 0.50$ = 50

and the new standard deviation of X, $\sigma$ = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{100 \times 0.50 \times (1-0.50)}$

= 5

So, X ~ Normal( $\mu=50, \sigma^{2} = 5^{2}$ )

Now, the probability that Pat will pass the exam is given by = P(X $\geq$ 60)

P(X $\geq$ 60) = P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{60-50}{5}$ ) = P(Z $\geq$ 2) = 1 - P(Z < 2)

= 1 - 0.97725 = 0.02275

Hence, the probability that Pat will pass the exam is 0.02775.

3 0

3 years ago

How do you find the missing length

uranmaximum [27]

To find the missing length of a triangle we will use the Pythagorean Theorem.
Pythagoream Theorem = a^2 + b^2 = c^2
With this formula, we can find the missing side as follows:
27^2 + 36^2 = c^2
729 + 1,296 = C
2,025 = C
45 = C^2
There for we can conclude that the answer for the missing side is: 45 inches.

3 0

3 years ago

Please help me i need help with this please give me the answer

vichka [17]

Part A:

$8.00+(r⋅$1.40)

Part B:

($26.00-($8.00)÷$1.40)=5

He can go on 5 rides.

8 0

3 years ago

Find the value of the csc 40° using your calculator. (I've been having a hard time with this, so it'd be helpful if anyone could

SCORPION-xisa [38]

The correct answer is: 
C 1.556.

Explanation:
This can be found by locating the csc button on your calculator. Typically it is located as the second option below the sin button as it is the inverse function.
If you cannot locate the csc button on your calculator, you can also use $\frac{1}{sin(40)}$ as csc is its inverse.

Also, it is helpful to note that some calculators have both a degrees and a radians mode for trigonometric functions. You will need to make sure that you are in degrees in order to use a calculator to solve this.

7 0

3 years ago

Read 2 more answers

Davina is comparing cell phone plans. The first plan has a flat fee of $10 plus .04 per text. The second has a flat fee of $5 pl

bazaltina [42]

10+.04(15)(.5)=10.30. 5+.12(15)(.5)=5.9. 10.3-5.9=4.4 the difference is 4.40 :)

8 0

3 years ago